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Finding the Third Proportional to 189.75 and 415.03

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Solution

The third proportional to 189.75 and 415.03 is: 907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 415.03 = 415.03 : x
  2. Step 2: Convert to fraction form
    189.75/415.03 = 415.03/x
  3. Step 3: Cross multiply
    189.75x = 415.03 × 415.03
  4. Step 4: Simplify right side
    189.75x = 172,250.94
  5. Step 5: Solve for x
    x = 172,250.94/189.75
  6. Step 6: Final answer
    x = 907.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.